Look Inside Induced Representations of Locally Compact Groups

Induced Representations of Locally Compact Groups

Part of Cambridge Tracts in Mathematics

Authors:
Eberhard Kaniuth, Universität Paderborn, Germany
Keith F. Taylor, Dalhousie University, Nova Scotia

Date Published: November 2012
availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
format: Adobe eBook Reader
isbn: 9781139847636

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Description

The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research.
- Assembles a wide variety of results that have never before appeared in the same source
- Applications in later chapters demonstrate the power of the theory
- Includes a comprehensive guide to Mackey analysis
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'… [a] nicely written book …' Zentralblatt MATH

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Product details
- Date Published: November 2012
- format: Adobe eBook Reader
- isbn: 9781139847636
- contains: 3 b/w illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Basics
2. Induced representations
3. The imprimitivity theorem
4. Mackey analysis
5. Topologies on dual spaces
6. Topological Frobenius properties
7. Further applications
References
Index.
Look Inside
Authors
Eberhard Kaniuth, Universität Paderborn, Germany
Eberhard Kaniuth is Professor Emeritus at the University of Paderborn, Germany.
Keith F. Taylor, Dalhousie University, Nova Scotia
Keith F. Taylor is Associate Vice-President Academic and a Professor in the Department of Mathematics and Statistics at Dalhousie University, Nova Scotia.